Patrick L. answered 06/02/20
AA in Mathematics with 5+ Years of Tutoring Experience
A. There are 145 freshmen surveyed.
B. P(Speak a 2nd Language) = 80/145
P(Class Average ≥ 90) = 85/145
P(Speak a 2nd Language ∩ Class Average ≥ 90) = (80/145)*(85/145) = 0.3234
About 32% of freshmen speak a second language and have a class average of at least 90.
C. P(Don't Speak a 2nd Language|Class Average ≥ 90) = (15/85)÷(85/145) = 0.3010
About 30% of freshmen with a class average of at least 90 don't speak a second language.
D. 65 freshmen don't speak a second language.